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College Smokers We are interested in estimating the proportion of students at a university who smoke....

College Smokers

We are interested in estimating the proportion of students at a university who smoke. Out of a random sample of 200 students from this university, 47 students smoke.

(a) Calculate a 97% confidence interval for the proportion of students at this university who smoke.
( , )

(b) If we wanted the margin of error to be no larger than 2% at a 97% confidence level for the proportion of students who smoke, how big of a sample would we need?
n=

.

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